Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
17661i |
Isogeny class |
Conductor |
17661 |
Conductor |
∏ cp |
143 |
Product of Tamagawa factors cp |
deg |
686400 |
Modular degree for the optimal curve |
Δ |
1.4434585519844E+19 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 6 -6 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1089997,397955876] |
[a1,a2,a3,a4,a6] |
Generators |
[-229:25325:1] |
Generators of the group modulo torsion |
j |
170295687079857398473/17163597526568829 |
j-invariant |
L |
3.3111567903163 |
L(r)(E,1)/r! |
Ω |
0.21591063613004 |
Real period |
R |
0.10724317710628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52983e1 123627j1 17661c1 |
Quadratic twists by: -3 -7 29 |